Home
Class 12
MATHS
Plot the region of the points P(x,y) sat...

Plot the region of the points P(x,y) satisfying `2 gt` max.
`{|x|, |y|}.`

Text Solution

AI Generated Solution

To solve the problem of plotting the region of the points \( P(x,y) \) satisfying \( 2 > \max\{|x|, |y|\} \), we can break it down step by step. ### Step 1: Understand the inequality The inequality \( 2 > \max\{|x|, |y|\} \) means that both \( |x| \) and \( |y| \) must be less than 2. This can be expressed as: - \( |x| < 2 \) - \( |y| < 2 \) ### Step 2: Rewrite the absolute value inequalities ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXAMPLE|12 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos
  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos
  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Plot the region of the points P (x,y) satisfying |x|+|y| lt 1.

Sketch the region of the points satisfying max. {|x|, |y|} le 4 .

Find tha area of the region containing the points (x, y) satisfying 4 le x^(2) + y^(2) le 2 (|x|+ |y|) .

Find the area of the region formed by the points satisfying |x| + |y| + |x+y| le 2.

Sketch the regions which points satisfy |x+y| ge 2 .

Shade the regions where points satisfy |x-y| lt 1 .

The number of points (x,y) satisfying y=2 sinx and y=x^2+2 is

Describe the locus of the point (x, y) satisfying the equation x-y=0

Given that x in [0,1] and y in [0,1] . Let A be the event of selecting a point (x,y) satisfying y^(2) ge x and B be the event selecting a point (x,y) satisfying x^(2) ge y , then

Area bounded by the region consisting of points (x,y) satisfying y le sqrt(2-x^(2)), y^(2)ge x, sqrt(y)ge -x is